120 citations · 319 across the 7 of their papers we have counts for
7 papers
Algebraic nested Bethe ansatz for the elliptic Ruijsenaars model
E. Billey
The eigenvalues of the elliptic N-body Ruijsenaars operator are obtained by a dynamical version of the algebraic nested Bethe ansatz method. We use a result of Felder and Varchenko…
A Quasi-Hopf algebra interpretation of quantum 3-j and 6-j symbols and difference equations
O. Babelon, D. Bernard
We consider the universal solution of the Gervais-Neveu-Felder equation in the case. We show that it has a quasi-Hopf algebra interpretation. We also recall its…
The Gervais-Neveu-Felder equation and the quantum Calogero-Moser systems
J. Avan, O. Babelon, E. Billey
We quantize the spin Calogero-Moser model in the -matrix formalism. The quantum -matrix of the model is dynamical. This -matrix has already appeared in Gervais-Neveu's qua…
Spin generalization of the Calogero-Moser system and the Matrix KP equation
I. Krichever, O. Babelon, E. Billey +1
The complete solutions of the spin generalization of the elliptic Calogero Moser systems are constructed. They are expressed in terms of Riemann theta-functions. The analoguous con…
Observable algebra for the rational and trigonometric Euler Calogero Moser models
J. Avan, E. Billey
We construct polynomial Poisson algebras of observables for the classical Euler-Calogero-Moser (ECM) models. The conserved Hamiltonians and symmetry algebras derived in a previous…
Exact Yangian Symmetry in the Classical Euler-Calogero-Moser Model
E. Billey, J. Avan, O. Babelon
We compute the -matrix for the elliptic Euler-Calogero-Moser model. In the trigonometric limit we show that the model possesses an exact Yangian symmetry.